Note on the persistent property of a feedback control system with delays

详细信息    查看全文

• 作者：Fengde Chen ; Jinghui Yang ; Lijuan Chen
• 关键词：Feedback control ; Permanence
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2010
• 出版时间：April 2010
• 年：2010
• 卷：11
• 期：2
• 页码：1061-1066
• 全文大小：399 K

文摘

By developing some new analysis techniques, we show that the following feedback control system of differential equations with delays is permanent. where τ₁,τ₂,a,b,c,r,kC(R,(0,+∞)) are ω-periodic functions, which means that feedback control variable has no influence on the persistent property of the above system. Our result supplements the main result of Fan, Li and Qin [G.H. Fan, Y.K. Li, M.C. Qin, The existence of positive periodic solutions for periodic feedback control systems with delays, Zeitschrift für Angewandt Mathematik und Mechanik 84 (6) (2004) 425–430].